Multiple Bipolar Fuzzy Measures: An Application to Community Detection Problems for Networks with Additional Information

• Main Authors: Inmaculada Gutiérrez, Daniel Gómez, Javier Castro, Rosa Espínola
• Format: Article
• Language: English
• Published: Atlantis Press 2020-10-01
• Series: International Journal of Computational Intelligence Systems
• Subjects: Networks; Community detection; Bipolar fuzzy graph; Extended bipolar fuzzy graphs; Multiple bipolar fuzzy graph; Extended multiple bipolar fuzzy graphs
• Online Access: https://www.atlantis-press.com/article/125945340/view

In this paper we introduce the concept of multiple bipolar fuzzy measures as a generalization of a bipolar fuzzy measure. We also propose a new definition of a group, which is based on the multidimensional bipolar fuzzy relations of its elements. Taking into account this information, we provide a novel procedure (based on the well-known Louvain algorithm) to deal with community detection problems. This new method considers the multidimensional bipolar information provided by multiple bipolar fuzzy measures, as well as the information provided by a graph. We also give some detailed computational tests, obtained from the application of this algorithm in several benchmark models.